What is the Greatest Common Factor of 57525 and 57540?

Greatest common factor (GCF) of 57525 and 57540 is 15.

GCF(57525,57540) = 15

We will now calculate the prime factors of 57525 and 57540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57525 and 57540.

How to find the GCF of 57525 and 57540?

We will first find the prime factorization of 57525 and 57540. After we will calculate the factors of 57525 and 57540 and find the biggest common factor number .

Step-1: Prime Factorization of 57525

Prime factors of 57525 are 3, 5, 13, 59. Prime factorization of 57525 in exponential form is:

57525 = 3¹ × 5² × 13¹ × 59¹

Step-2: Prime Factorization of 57540

Prime factors of 57540 are 2, 3, 5, 7, 137. Prime factorization of 57540 in exponential form is:

57540 = 2² × 3¹ × 5¹ × 7¹ × 137¹

Step-3: Factors of 57525

List of positive integer factors of 57525 that divides 57525 without a remainder.

1, 3, 5, 13, 15, 25, 39, 59, 65, 75, 177, 195, 295, 325, 767, 885, 975, 1475, 2301, 3835, 4425, 11505, 19175

Step-4: Factors of 57540

List of positive integer factors of 57540 that divides 57525 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 137, 140, 210, 274, 411, 420, 548, 685, 822, 959, 1370, 1644, 1918, 2055, 2740, 2877, 3836, 4110, 4795, 5754, 8220, 9590, 11508, 14385, 19180, 28770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57525 and 57540. The biggest common factor number is the GCF number.
So the greatest common factor 57525 and 57540 is 15.

Also check out the Least Common Multiple of 57525 and 57540